# Course Descriptions

## MATH 89: MATH 131 or 141 Course Companion

**Prerequisite(s)**:

-Successful completion of MATH 092 OR

-Placement at MATH 094 or higher

AND

-Concurrent enrollment in MATH 131 or MATH 141

AND

-Placement at ENGL 099/101 or higher OR

-Concurrent enrollment in ENGL 098

This is a companion course for MATH 131 or MATH 141. MATH 089 offers support for math and study skills for students in a related section of MATH 131 or 141. Concurrent enrollment in a section of MATH 131 or 141 is required. *2 credit hours*

**Developmental Course**: This course is not college level and will not transfer or count towards a degree or certificate program.

## MATH 91: Prealgebra

**Prerequisite(s)**:

-Placement at MATH 091

AND

-Placement at ENGL 099/101 or higher OR

-Concurrent enrollment in ENGL 098

This course is designed for students who need to develop their math skills prior to taking transfer level mathematics. Topics include: whole numbers, integers, solving equations with integers, solving advanced linear equations, fractions, mixed numbers, decimals, ratios, and proportions. *4 credit hours*

**Developmental Course**: This course is not college level and will not transfer or count towards a degree or certificate program.

## MATH 92: Elementary Algebra

**Prerequisite(s)**:

-Completion of MATH 091 OR

-Placement at MATH 092

AND

-Placement at ENGL 099/101 or higher OR

-Concurrent enrollment in ENGL 098

This course is designed for students who need to develop their math skills prior to taking transfer level mathematics. Topics include: percent, order of operations, solving linear equations, lines, graphing, exponents, polynomials, factoring. *4 credit hours*

**Developmental Course**: This course is not college level and will not transfer or count towards a degree or certificate program.

## MATH 94: Intermediate Algebra

**Prerequisite(s)**:

-Completion of MATH 092 or MATH 093 OR

-Placement at MATH 094

AND

-Placement at ENGL 099/101 or higher OR

-Concurrent enrollment in ENGL 98

This course is designed for students who need to develop their math skills prior to taking college level mathematics. Topics include rationals, functions, radicals, quadratics, complex numbers, systems of equations, compound inequalities, absolute value, and graphing. *4 credit hours*

**Developmental Course**: This course is not college level and will not transfer or count towards a degree or certificate program.

## MATH 95: Mathematical Literacy

**Prerequisite(s)**:

-Completion of MATH 091 OR

-Placement at MATH 092

AND

-Placement at ENGL 099/101 or higher OR

-Concurrent enrollment in ENGL 098

This course focuses on developing mathematical maturity through problem solving, critical thinking, data analysis, and the writing and communication of mathematics. Students will develop conceptual and procedural tools that support the use of key mathematical concepts in a variety of contexts. Instruction emphasizes the connections between verbal, numerical, symbolic and graphical representation of the concepts being taught. Modeling and problem solving are also emphasized, with techniques and manipulations covered in context. The appropriate use of technology, such as a graphing calculator, is strongly encouraged. *4 credit hours*

**Developmental Course**: This course is not college level and will not transfer or count towards a degree or certificate program.

## MATH 98: Geometry

**Prerequisite(s)**:

-Completion of MATH 092 OR

-Placement at MATH 093 or MATH 094 higher

AND

-Placement at ENGL 099/101 or higher OR

-Concurrent enrollment in ENGL 098

This course fulfills a geometry requirement for students who have not completed high school geometry. The course includes geometric constructions using a straight-edge, protractor, and compass. In addition, it introduces traditional "two-column" proofs; such proofs reinforce higher-order logical skills that are important in many professions. Topics include triangles, polygons, similarity, Pythagoras’ Theorem, and circles. *3 credit hours*

**Developmental Course**: This course is not college level and will not transfer or count towards a degree or certificate program.

## MATH 109: College Algebra

**Prerequisite(s)**:

-Completion of MATH 094 OR

-Placement at MATH 109

AND

-Completion of MATH 098 with a grade of C or better OR

-Placement out of Geometry

AND

-Placement at ENGL 099/101 or higher OR

-Concurrent enrollment in ENGL 098

The main concept of this course is the notion of a function. Polynomial, radical, rational, exponential, and logarithmic functions are studied from a symbolic, as well as graphical perspective. The course is intended to prepare college students for studying Calculus. Graphing utilities are used extensively as learning tools. A graphing calculator is required for this course (instruction will be based on a TI 89). *4 credit hours*

**Transferrable Elective Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.

## MATH 111: Finite Math for Business and Social Science

**Prerequisite(s)**:

-Completion of MATH 106 or MATH 109 w/ a C or better OR

-Placement at MATH 111 or higher

AND

-Completion of MATH 098 w/ a grade of C or better OR

-Placement out of Geometry

AND

-Placement at ENGL 099/101 or higher OR

-Concurrent enrollment in ENGL 098

This class focuses on applications of the following topics: matrices, matrix algebra, linear programming, sets and counting techniques, probability, and the mathematics of finance. A graphing calculator is required for this course (instruction will be based on a TI 83+). *4 credit hours*

IAI GEC Code - M1 906

**Transferrable General Education Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.

## MATH 129: Precalculus

**Prerequisite(s)**:

-Completion of MATH 109 with a grade of C or better OR

-Placement at MATH 129 or higher

AND

-Completion of MATH 098 with a grade of C or better OR

-Placement out of Geometry

AND

-Placement at ENGL 099/101 or higher OR

-Concurrent enrollment in ENGL 098

This course expands on the study of functions that began in College Algebra, specifically radical, piece-wise and absolute value functions, which are studied from a symbolic, as well as graphical perspective. Also covered are the definition of the six trigonometric functions, their graphs, their relationships to one another, and ways in which they can be used in a variety of applications. Specific applications include triangles, conic relations, vectors, polar coordinates and polar equations. The course is designed to prepare college students for the study of calculus. A graphing calculator is required for this course (instruction will be based on a TI 89). *4 credit hours*

**Transferrable Elective Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.

## MATH 131: Explorations in Mathematics

**Prerequisite(s)**:

-Completion of MATH 093, 094, or 095 with a grade of C or better OR

-Placement at MATH 131 OR

-Completion with a C or better, or concurrent enrollment in, MATH 089

AND

-Placement at ENGL 099/101 OR

-Concurrent enrollment in ENGL 098

This course focuses on mathematical reasoning and the solving of real-life problems, rather than on routine skills and appreciation. An in-depth study of several mathematical topics will be covered, including the study of elementary counting techniques and probability, basic statistics, and one or two other topics chosen from the following list: Graph Theory, Linear Programming, Geometry, Logic/Set Theory, Mathematical Modeling, or Finance. A scientific calculator is required for this course (a graphing calculator is also acceptable). Instruction will be based on a TI-30XIIS. *3 credit hours*

IAI GEC Code - M1 904

**Transferrable General Education Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.

## MATH 135: Mathematics for Elementary Teachers I

**Prerequisite(s)**:

-Completion of MATH 093 or MATH 094 OR

-Placement at MATH 135

AND

-Completion of MATH 098 with a grade of C or better OR

-Placement out of Geometry

AND

-Placement at ENGL 099/101 OR

-Concurrent enrollment in ENGL 098

This course focuses on mathematical reasoning and problem solving and provides instruction in the teaching of mathematics at the elementary grade level. Topics include properties of whole numbers and rational numbers, the four basic arithmetic operations, and problem solving through various representations. *3 credit hours*

**Transferrable Elective Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.

## MATH 136: Mathematics for Elementary Teachers II

**Prerequisite(s)**:

-Completion of MATH 135 with a grade of C or better

This course focuses on mathematical reasoning and problem solving and provides instruction in teaching mathematics at the elementary grade level. Topics include algebra, geometry, measurement, and the use of technology in the elementary school classroom. Note, a scientific calculator is required for this course (a graphing calculator is also acceptable). *3 credit hours*

IAI GEC Code - M1 903

**Transferrable General Education Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.

## MATH 141: Introduction to Statistics

**Prerequisite(s)**:

-Completion of MATH 093, 094, or 095 with a grade of C or better, OR

-Placement at MATH 141 or higher OR

-Completion with a grade of C or better, or concurrent enrollment in, MATH 089

AND

-Placement at ENGL 99/101 OR

-Concurrent enrollment in ENGL 098

This course focuses on mathematical reasoning and the solving of real-life problems, rather than on routine skills and appreciation. Descriptive methods (frequency distributions, graphing and measures of location and variation), basic probability theory (sample spaces, counting, factorials, combinations, permutations, and probability laws), probability distributions (normal distributions and normal curve, binomial distribution, and random samples and sampling techniques), statistical inference (estimation, hypothesis testing, t-test, and chi-square test, and errors), correlation and regression, and f-test and analysis of variance. An emphasis is placed on calculating statistical results using appropriate technology, and interpreting those results in context, rather than using formulas and tables. *4 credit hours*

IAI GEC Code - M1 902

**Transferrable General Education Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.

## MATH 151: Calculus for Business & Social Science

**Prerequisite(s)**:

-Completion of MATH 106 or MATH 109 with a grade of C OR

-Placement at MATH 151 or higher

AND

-Completion of MATH 098 with a grade of C or better OR

-Placement out of Geometry

AND

-Placement at ENGL 099/101 or higher OR

-Concurrent enrollment in ENGL 098

This calculus course is designed specifically for students in business and the social sciences and does not count toward a major or minor in mathematics. It emphasizes applications of the basic concepts of calculus rather than proofs. Topics include limits; techniques of differentiation applied to polynomial, rational, exponential, and logarithmic functions (this includes partial derivatives and derivatives of higher order); maxima and minima of functions; elementary techniques of integration including substitution and integration by parts; and applications (business and social science applications are stressed throughout the course). A graphing calculator is required for this course (instruction will be based on a TI-83+). *4 credit hours*

IAI GEC Code - M1 900-B

**Transferrable General Education Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.

## MATH 161: Calculus I

**Prerequisite(s)**:

-Completion of MATH 109 and MATH 128 with grades of C or higher OR

-Completion of MATH 129 with a C or higher OR

-Placement at MATH 161

AND

-Completion of MATH 098 with a C OR

-Placement out of Geometry

AND

-Placement at ENGL 099/101 or higher OR

-Concurrent enrollment in ENGL 098

Topics include (but are not limited to) the following: limits and continuity; definition of derivative; rate of change, slope; derivatives of polynomial, rational, trigonometric, logarithmic and exponential functions; the chain rule; implicit differentials; approximation by differentials; higher order derivatives; Rolle?s Theorem; Mean Value Theorem; applications of the derivative; anti-derivative; L?Hopital?s Rule (0/0 and 8/8); the definite integral; the fundamental theorem of calculus; and area under the curve and Riemann Sums. A graphing calculate is required for this course (instruction will be based on a TI-89). *4 credit hours*

IAI GEC CODE - M1 900-1

IAI Major Code - MTH 901

**Transferrable General Education Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.

## MATH 162: Calculus II

**Prerequisite(s)**:

-Completion of MATH 161 with a grade of C or better

A second course in Calculus. Topics include (but are not limited to) the following: area between two curves, volume, other applications of the integral; techniques of integration, including numerical methods; L?Hopital?s rule (indeterminate forms); improper integrals; sequences and series, convergence tests, Taylor series; parametric equations and polar coordinates. A graphing calculator is required for this course (instruction will be based on TI-89). *4 credit hours*

IAI GEC Code - M1 900-2

IAI Major Code - MTH 902

**Transferrable General Education Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.

## MATH 163: Calculus III

**Prerequisite(s)**:

-Completion of MATH 162 with a grade of C or better

Topics include (but are not limited to) the following: applications of polar coordinates: area, arc length and conic sections; functions of more than one variable, partial derivatives; the differential, directional derivatives, gradients; double and triple integrals: evaluation and applications. Note, a graphing calculator is required for this course (instruction will be based on a TI 89). *4 credit hours*

IAI GEC Code - M1 900-3

IAI Major Code - MTH 903

**Transferrable General Education Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.

## MATH 271: Linear Algebra

**Prerequisite(s)**:

-Completion of MATH 162 with a grade of C or better

This is an introductory course in linear algebra. Topics include vectors, matrices and operations; inverse of a matrix; solution of systems of linear equations; vector spaces and subspaces; linear independence, dependence, and transformations; range and kernel of linear transformations; rank, basis and dimension; determinants; eigenvalues and eigenvectors; inner product spaces and orthogonality. *4 credit hours*

IAI Major Code - MTH 911

**Transferrable Elective Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.

## MATH 272: Differential Equations

**Prerequisite(s)**:

-Completion of MATH 162 with a grade of C or better

This is an introductory course in differential equations. Topics include linear equations of the first order; linear equations with constant coefficients; the general linear equation; variation of parameters; undetermined coefficients; linear independence; the Wronskian; exact equations; separation of variables; and applications. In addition, the course will cover at least two of the following topics: systems of linear differential equations; solution of Laplace transforms; existence and uniqueness of solutions; solution by power series; oscillation and comparison theorems; partial differential equations; boundary value problems; numerical methods; and stability of solutions. A graphing calculator is required for this course (instruction will be based on the TI-89). *4 credit hours*

IAI Major Code - MTH 912

**Transferrable Elective Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.

## MATH 296: Special Topics in Math

**Prerequisite(s)**:

-Permission of division dean

AND

-Completion of MATH 098 with a grade of C or better OR

-Placement out of Geometry

AND

-Placement at college level English

Course will offer students an opportunity to study a topic which is (1) unique and infrequently offered as a part of their program curriculum or (2) of special interest to mathematics. Each student wishing to enroll in Special Topics in Mathematics will be reviewed based on (1) previous experience, (2) courses completed, and (3) aptitude/ability match with selected topic. *1-4 credit hours*

**Transferrable Elective Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.

## MATH 297: Independent Study in Mathematics

**Prerequisite(s)**:

-Permission of division dean

AND

-Completion of MATH 109 with a grade of C or better

AND

-Placement at college level English

Intensive work in an area of mathematics of special interest to the student. Each individual project is to culminate in a comprehensive written report. *1-4 credit hours*

**Transferrable Elective Course**: This course generally should transfer to an Illinois Articulation Initiative college or university. Please consult with your advisor about transferability.